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13920336 = 243423467
BaseRepresentation
bin110101000110…
…100001010000
3222012020010000
4311012201100
512030422321
61214210000
7226215033
oct65064120
928166100
1013920336
117948611
1247b3900
132b650b1
141bc501a
15134e826
hexd46850

13920336 has 100 divisors (see below), whose sum is σ = 42131232. Its totient is φ = 4428864.

The previous prime is 13920323. The next prime is 13920337. The reversal of 13920336 is 63302931.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13920337) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29575 + ... + 30041.

Almost surely, 213920336 is an apocalyptic number.

13920336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13920336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21065616).

13920336 is an abundant number, since it is smaller than the sum of its proper divisors (28210896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13920336 is a wasteful number, since it uses less digits than its factorization.

13920336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 13920336 is about 3730.9966496903. The cubic root of 13920336 is about 240.5562099645.

The spelling of 13920336 in words is "thirteen million, nine hundred twenty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 467 552 621 648 828 934 1104 1242 1296 1401 1656 1863 1868 2484 2802 3312 3726 3736 4203 4968 5604 7452 7472 8406 9936 10741 11208 12609 14904 16812 21482 22416 25218 29808 32223 33624 37827 42964 50436 64446 67248 75654 85928 96669 100872 128892 151308 171856 193338 201744 257784 290007 302616 386676 515568 580014 605232 773352 870021 1160028 1546704 1740042 2320056 3480084 4640112 6960168 13920336